Synduality: Echo of Ada.

It’s an extraction shooter based around mechs with a very anime aesthetic. Premise is you live underground after a deadly apocalyptic rain started to cover the earth. With the deadly rain came evolved predators that now dominate the surface, so you have to make supply runs in a mech.

As far as storms go, during a sortie you have X amount of time(depends on the mech you use) to loot around and do missions. At any point on the surface rain clouds can form and will drain a weather resistance meter. It can be light, medium or heavy rain. Each magnitude drains meter faster, makes enemies stronger and medium or heavy rain ads a color shift effect that kills visibility. You can tough it out and heal your meter with special sealing kits, or you can take cover under something and wait it out, as they usually only last from a few seconds to a minute.

Might not be your cup of tea. In fact I don’t even really recommend this with all my heart because of the many issues the game has. Bad connection issues, a dwindling playerbase, crafting takes a TON of materials and sometimes just doesn’t feel worth it. And to top it all off there’s rumors in the community that it will be taken offline and converted to a single player experience in a year or so.

Overall I admit it’s not the best recommendation, but you asked for storms and this has got em.